☀️ Summer 2026 · IGCSE Maths · Week 1 · Number
Number
By the end of this lesson, your teenager can actually do these 4 things:
Find HCF & LCM using prime factor trees — no calculator needed
Work with standard form, indices and surds with full confidence
Convert freely between fractions, decimals and percentages
Solve ratio, proportion and compound interest exam questions
The Lesson Plan
⏱ Week 1 · Number — 90-Minute Lesson Plan One topic, covered properly. Every minute is active — no passive note-taking, no theory without practice.
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0:10
🚀 Introduction — Diagnostic Starter
A few targeted questions reveal in real time exactly where your teenager stands across the Number topic. No judgment — just data the tutor uses immediately to focus the session.
Sets the pace · no downtime · tutor adjusts in real time
- A few rapid diagnostic questions spanning all Number sub-topics
- Identify gaps before they cost marks on the real paper
- Every question is mapped to the IGCSE mark scheme — no wasted time
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0:35
🌳 Part 1 — Number Foundations
Types of numbers, HCF & LCM, prime factorisation — the building blocks of every Number question on the paper.
Focus: prime factorisation · HCF · LCM · number classification
- Classify integers, primes, squares, cubes and triangular numbers
- Write any number as a product of its prime factors using a factor tree
- Find HCF and LCM via Venn diagrams and prime factorisation
- Solve IGCSE-style problems where HCF or LCM is embedded in context
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1:00
🔢 Part 2 — Standard Form, Indices & Surds
These are the questions where marks are either banked or lost. Once the patterns click, they become reliable.
Focus: standard form · laws of indices · surds · rational vs irrational
- Convert between ordinary numbers and standard form (A × 10ⁿ)
- Apply laws of indices — including negative and fractional exponents
- Simplify surds and rationalise denominators
- Decide whether a number is rational or irrational — and justify it
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1:20
💯 Part 3 — Fractions, Percentages & Ratio
The most exam-heavy part of the Number topic. Every sub-skill here appears in at least one question on every past paper.
Focus: conversions · compound interest · ratio & proportion
- Convert fluently: fractions ↔ decimals ↔ percentages
- Calculate percentage change, reverse percentages and compound interest
- Divide quantities in a given ratio; solve direct and inverse proportion
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1:30
🎯 Outro — Exam Question & Target
The session closes with a real unseen IGCSE Number question — timed, full working, taken home. Then 3 minutes of structured reflection.
What they take home: a completed, marked IGCSE solution in their own handwriting
- Solve one unseen IGCSE Number question under exam conditions
- Review the mark scheme together — understand exactly where marks go
- Leave with one written target for the week ahead
Every student leaves with a completed exam solution in their own handwriting — proof of what they achieved today.
Ready to Start?
Summer 2026 spots are limited
Maximum 6 students per group. IGCSE Maths fills up quickly — reserve your teenager's spot before the group is full.